Local bifurcation analysis of one parameter in the Greitzer's model with a general compressor characteristic

DOI10.1007/s00009-021-01933-zzbMath1486.34101OpenAlexW4206778951MaRDI QIDQ2067215

Mohand Kessal, Naima Meskine, Djamila Seba

Publication date: 17 January 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01933-z

zbMATH Keywords

steady statelocal bifurcationlimit pointaxial compressorHopf bifurction

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Compressible fluids and gas dynamics (76N99) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Local bifurcation analysis and topological horseshoe of a 4D hyper-chaotic system
• Elements of applied bifurcation theory.
• Rotating stall control via bifurcation stabilization.
• Positive solutions for some semi-positone problems with nonlinear boundary conditions via bifurcation theory
• BIFURCATION CURVES OF SUBHARMONIC SOLUTIONS AND MELNIKOV THEORY UNDER DEGENERACIES
• Bifurcation based nonlinear feedback control for rotating stall in axial flow compressors
• Bifurcation analysis of surge and rotating stall in the Moore-Greitzer compression system
• Degenerate Hopf bifurcations in discontinuous planar systems

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